12993861408000
12,993,861,408,000 is an even composite number composed of seven prime numbers multiplied together.
12993861408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12993861408000:
28 × 3 × 53 × 11 × 23 × 191 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 23 × 191 × 2801)See below for interesting mathematical facts about the number 12993861408000 from the Numbermatics database.
Names of 12993861408000
- Cardinal: 12993861408000 can be written as Twelve trillion, nine hundred ninety-three billion, eight hundred sixty-one million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.2993861408 × 1013
Factors of 12993861408000
Divisors of 12993861408000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 125 128 132 138 150 160 165 176 184 191 192 200 220 230 240 250 253 256 264 275 276 300 320 330 345 352 368 375 382 384 400 440 460 480 500 506 528 550 552 573 575 600 640 660 690 704 736 750 759 764 768 800 825 880 920 955 960 1000 1012 1056 1100 1104 1146 1150 1200 1265 1280 1320 1375 1380 1408 1472 1500 1518 1528 1600 1650 1725 1760 1840 1910 1920 2000 2024 2101 2112 2200 2208 2292 2300 2400 2530 2640 2750 2760 2801 2816 2865 2875 2944 3000 3036 3056 3200 3300 3450 3520 3680 3795 3820 3840 4000 4048 4125 4202 4224 4393 4400 4416 4584 4600 4775 4800 5060 5280 5500 5520 5602 5730 5750 5888 6000 6072 6112 6303 6325 6400 6600 6900 7040 7360 7590 7640 8000 8096 8250 8403 8404 8448 8625 8786 8800 8832 9168 9200 9550 9600 10120 10505 10560 11000 11040 11204 11460 11500 12000 12144 12224 12606 12650 13179 13200 13800 14005 14080 14325 14720 15180 15280 16000 16192 16500 16806 16808 17250 17572 17600 17664 18336 18400 18975 19100 19200 20240 21010 21120 21965 22000 22080 22408 22920 23000 23875 24000 24288 24448 25212 25300 26358 26400 27600 28010 28650 29440 30360 30560 30811 31515 31625 32000 32384 33000 33612 33616 34500 35144 35200 36672 36800 37950 38200 40480 42015 42020 42240 43930 44000 44160 44816 45840 46000 47750 48000 48323 48576 48896 50424 50600 52525 52716 52800 55200 56020 57300 60720 61120 61622 63030 63250 64423 64768 65895 66000 67224 67232 69000 70025 70288 70400 71625 73344 73600 75900 76400 80960 84030 84040 87860 88000 88320 89632 91680 92000 92433 94875 95500 96000 96646 97152 100848 101200 105050 105432 105600 109825 110400 112040 114600 121440 122240 123244 126060 126500 128846 131790 132000 134448 134464 138000 140050 140576 143250 144969 146688 147200 151800 152800 154055 157575 161920 168060 168080 175720 176000 179264 183360 184000 184866 189750 191000 193269 193292 194304 201696 202400 210075 210100 210864 211200 219650 220800 224080 229200 241615 242880 244480 246488 252120 253000 257692 262625 263580 264000 268896 268928 276000 280100 281152 286500 289938 303600 305600 308110 315150 322115 323840 329475 336120 336160 350125 351440 352000 358528 366720 368000 369732 379500 382000 386538 386584 403392 404800 420150 420200 421728 439300 441600 448160 458400 462165 483230 485760 492976 504240 506000 515384 525250 527160 528000 534991 537792 537856 549125 552000 560200 562304 573000 579876 607200 611200 616220 630300 644230 658950 672240 672320 700250 702880 708653 717056 724845 733440 736000 739464 759000 764000 770275 773076 773168 787875 806784 809600 840300 840400 843456 878600 896320 916800 924330 966345 966460 971520 985952 1008480 1012000 1030768 1050375 1050500 1054320 1056000 1069982 1075584 1098250 1104000 1120400 1124608 1146000 1159752 1208075 1214400 1222400 1232440 1260600 1288460 1317900 1344480 1344640 1400500 1405760 1417306 1449690 1478928 1518000 1528000 1540550 1546152 1546336 1575750 1604973 1610575 1613568 1619200 1647375 1680600 1680800 1686912 1757200 1792640 1833600 1848660 1932690 1932920 1971904 2016960 2024000 2061536 2100750 2101000 2108640 2125959 2139964 2151168 2196500 2208000 2240800 2292000 2310825 2319504 2416150 2428800 2464880 2521200 2576920 2635800 2674955 2688960 2689280 2801000 2811520 2834612 2899380 2957856 3036000 3056000 3081100 3092304 3092672 3151500 3209946 3221150 3294750 3361200 3361600 3373824 3514400 3543265 3585280 3624225 3667200 3697320 3851375 3865380 3865840 3943808 4033920 4048000 4123072 4201500 4202000 4217280 4251918 4279928 4393000 4481600 4584000 4621650 4639008 4831725 4832300 4857600 4929760 5042400 5153840 5271600 5349910 5377920 5602000 5623040 5669224 5798760 5884901 5915712 6040375 6072000 6112000 6162200 6184608 6185344 6303000 6419892 6442300 6589500 6722400 6723200 7028800 7086530 7248450 7394640 7702750 7730760 7731680 7887616 8024865 8052875 8067840 8096000 8246144 8403000 8404000 8434560 8503836 8559856 8786000 8963200 9168000 9243300 9278016 9663450 9664600 9859520 10084800 10307680 10543200 10629795 10699820 10755840 11204000 11338448 11554125 11597520 11769802 11831424 12080750 12144000 12304793 12324400 12369216 12370688 12606000 12839784 12884600 13179000 13374775 13444800 13446400 14057600 14173060 14496900 14789280 15405500 15461520 15463360 16049730 16105750 16492288 16806000 16808000 16869120 17007672 17119712 17572000 17654703 17716325 17926400 18121125 18336000 18486600 18556032 19326900 19329200 19719040 20169600 20615360 21086400 21259590 21399640 22408000 22676896 23108250 23195040 23539604 23662848 24158625 24161500 24288000 24609586 24648800 24738432 25212000 25679568 25769200 26358000 26749550 26889600 28115200 28346120 28993800 29424505 29578560 30811000 30923040 30926720 32099460 32211500 33612000 33616000 34015344 34239424 35144000 35309406 35432650 36242250 36914379 36973200 37112064 38653800 38658400 39438080 40124325 40339200 41230720 42172800 42519180 42799280 44816000 45353792 46216500 46390080 47079208 48317250 48323000 49219172 49297600 49476864 50424000 51359136 51538400 52716000 53148975 53499100 53779200 56692240 57987600 58849010 59157120 61523965 61622000 61846080 61853440 64198920 64423000 66873875 67224000 67232000 68030688 68478848 70288000 70618812 70865300 72484500 73828758 73946400 77307600 77316800 80248650 82461440 84345600 85038360 85598560 88273515 88581625 89632000 90707584 92433000 92780160 94158416 96634500 96646000 98438344 98595200 100848000 102718272 103076800 105432000 106297950 106998200 113384480 115975200 117698020 118314240 123047930 123244000 123692160 128397840 128846000 133747750 134448000 135352723 136061376 136957696 140576000 141237624 141730600 144969000 147122525 147657516 147892800 154615200 154633600 160497300 170076720 171197120 176547030 177163250 181415168 184571895 184866000 185560320 188316832 193269000 193292000 196876688 197190400 200621625 201696000 205436544 206153600 210864000 212595900 213996400 226768960 231950400 235396040 246095860 246488000 247384320 256795680 257692000 265744875 267495500 268896000 270705446 272122752 282475248 283461200 289938000 294245050 295315032 295785600 307619825 309230400 309267200 320994600 340153440 342394240 353094060 354326500 369143790 369732000 376633664 386538000 386584000 393753376 401243250 406058169 410873088 412307200 421728000 425191800 427992800 441367575 453537920 463900800 470792080 492191720 492976000 513591360 515384000 531489750 534991000 541410892 544245504 564950496 566922400 579876000 588490100 590630064 591571200 615239650 618460800 641989200 676763615 680306880 684788480 706188120 708653000 735612625 738287580 739464000 753267328 773076000 773168000 787506752 802486500 812116338 850383600 855985600 882735150 907075840 922859475 927801600 941584160 984383440 985952000 1027182720 1030768000 1062979500 1069982000 1082821784 1129900992 1133844800 1159752000 1176980200 1181260128 1230479300 1236921600 1283978400 1353527230 1360613760 1412376240 1417306000 1471225250 1476575160 1478928000 1506534656 1538099125 1546152000 1546336000 1575013504 1604973000 1624232676 1700767200 1711971200 1765470300 1845718950 1883168320 1968766880 2030290845 2054365440 2061536000 2125959000 2139964000 2165643568 2206837875 2259801984 2267689600 2319504000 2353960400 2362520256 2460958600 2567956800 2707054460 2721227520 2824752480 2834612000 2942450500 2953150320 2957856000 3076198250 3092304000 3150027008 3209946000 3248465352 3383818075 3401534400 3423942400 3530940600 3691437900 3766336640 3937533760 4060581690 4251918000 4279928000 4331287136 4413675750 4519603968 4535379200 4614297375 4639008000 4707920800 4725040512 4921917200 5135913600 5414108920 5649504960 5669224000 5884901000 5906300640 6152396500 6184608000 6419892000 6496930704 6767636150 6803068800 7061881200 7382875800 7532673280 7875067520 8121163380 8503836000 8559856000 8662574272 8827351500 9228594750 9415841600 9450081024 9843834400 10151454225 10271827200 10828217840 11299009920 11338448000 11769802000 11812601280 12304793000 12839784000 12993861408 13535272300 13606137600 14123762400 14765751600 15750135040 16242326760 16919090375 17007672000 17119712000 17325148544 17654703000 18457189500 18831683200 19687668800 20302908450 21656435680 22598019840 22676896000 23539604000 23625202560 24609586000 25679568000 25987722816 27070544600 28247524800 29531503200 32484653520 33838180750 34015344000 34650297088 35309406000 36914379000 37663366400 39375337600 40605816900 43312871360 47079208000 47250405120 49219172000 50757271125 51359136000 51975445632 54141089200 56495049600 59063006400 64969307040 67676361500 68030688000 70618812000 73828758000 78750675200 81211633800 86625742720 94158416000 98438344000 101514542250 103950891264 108282178400 112990099200 118126012800 129938614080 135352723000 141237624000 147657516000 162423267600 173251485440 188316832000 196876688000 203029084500 216564356800 236252025600 259877228160 270705446000 282475248000 295315032000 324846535200 393753376000 406058169000 433128713600 519754456320 541410892000 564950496000 590630064000 649693070400 812116338000 866257427200 1082821784000 1181260128000 1299386140800 1624232676000 2165643568000 2598772281600 3248465352000 4331287136000 6496930704000 12993861408000
- Sum of all divisors σ(n): 49404594290688
- Sum of proper divisors (its aliquot sum) s(n): 36410732882688
- 12993861408000 is an abundant number, because the sum of its proper divisors (36410732882688) is greater than itself. Its abundance is 23416871474688
Bases of 12993861408000
- Binary: 101111010001010111100111111001010101000000002
- Hexadecimal: 0xBD15E7E5500
- Base-36: 4LTAPL9MO
Squares and roots of 12993861408000
- 12993861408000 squared (129938614080002) is 168840434290311742464000000
- 12993861408000 cubed (129938614080003) is 2193889203234841618692204429312000000000
-
The
square root of 12993861408000 is 3604699.9054012805 -
The
cube root of 12993861408000 is 23509.6452985435
Scales and comparisons
How big is 12993861408000?- 12,993,861,408,000 seconds is equal to 413,164 years, 31 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 12,993,861,408,000 would take you about one million, thirty-two thousand, nine hundred eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 12993861408000 cubic inches would be around 1959.1 feet tall.
Recreational maths with 12993861408000
- 12993861408000 backwards is 00080416839921
- The number of decimal digits it has is: 14
- The sum of 12993861408000's digits is 51
- More coming soon!
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The information we have on file for 12993861408000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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